The Principles And Application Of Imaginary Quantities, Books 1-2 (1817)

The Principles and Application of Imaginary Quantities is a two-volume book written by Benjamin Gompertz in 1817. The book delves into the concept of imaginary numbers and their applications in mathematics. It begins with a brief history of the development of complex numbers and their properties, followed by a detailed discussion of the algebraic operations of addition, subtraction, multiplication, and division of complex numbers. The book then moves on to explore the geometric representation of complex numbers and their applications in solving equations, including the famous quadratic equation. Gompertz also discusses the application of complex numbers in trigonometry, calculus, and other branches of mathematics. The second volume of the book delves deeper into the applications of complex numbers in physics, including the use of imaginary quantities in the study of electricity, magnetism, and optics. Gompertz also discusses the use of complex numbers in the study of curves and surfaces in geometry. Overall, The Principles and Application of Imaginary Quantities is a comprehensive guide to the theory and applications of complex numbers, written in a clear and concise manner. It is a valuable resource for students and professionals in the fields of mathematics, physics, and engineering.To Which Are Added Some Observations Of Porisms, Being The First Of A Series Of Original Tracts On Various Parts Of The Mathematics.This scarce antiquarian book is a facsimile reprint of the old original and may contain some imperfections such as library marks and notations. Because we believe this work is culturally important, we have made it available as part of our commitment for protecting, preserving, and promoting the world's literature in affordable, high quality, modern editions, that are true to their original work.